Класcы преобразований нестационарного сигнала в информационно-измерительных системах. II. Время-частотные преобразования

Автор: Меркушева А.В.

Журнал: Научное приборостроение @nauchnoe-priborostroenie

Статья в выпуске: 2 т.12, 2002 года.

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Представлены аналитическая форма и характеристики время-частотных преобразований, являющихся средством анализа нестационарных сигналов, в том числе большинства сигналов в информационно-измерительных и информационно- управляющих системах. В примерах двумерное представление модельных сигналов при преобразованиях Зака и Вигнера сопоставлено с традиционным методом кратковременного преобразования Фурье. Дана систематизация и взаимосвязи преобразований время-частотного класса.

Короткий адрес: https://sciup.org/14264237

IDR: 14264237

Список литературы Класcы преобразований нестационарного сигнала в информационно-измерительных системах. II. Время-частотные преобразования

Меркушева А.В. Классы преобразований нестационарного сигнала в информационно-измерительных системах. I. Элементы теории//В этом номере.
Claasen T.A.C., Mecklenbrauker W.F.G. Wigner distribution//Philips journal on research. 1980. V. 35, parts 1, 2, 3. P. 217-250, 276-300, 372-389.
Cohen L. Quantization Problem and Variational Principle in Quantum Mechanics//Journal of Mathematical Physics. 1976. V. 17. P. 1863-1866.
Cohen L. Time-frequency Distribution//Proceedings of IEEE. 1989. V. 77, N 7. P. 941-981.
Daubechies I. Orthogonal Bases of Compactly Supported Wavelets//Communications in Pure and Applied Mathematics. 1988. V. 41, N 7. P. 909-996.
Daubechies I. Ten Lectures on Wavelets//Conference Board of Mathematical Sciences. Society of Industrial and Applied Mathematics (SIAM), 1991. P. 258.
Grossman A., Morlet J. Decompositions of Hardy Functions into Square Integrand Wavelets of Constant Shape//SIAM Journal of Mathematical Analysis. 1984. V. 15. P. 723.
Heil G.E., Walnut D.F. Continuous and Discrete Wavelet Transforms//SIAM Review. 1989. V. 31, N 12. P. 628.
Lamarie P.G. Ondelettes a Localization Exponentiale//Journal Mathematics Pure Applied. 1988. V. 67. P. 227-336.
Mallat S.G. Multifrequency Chanal Decompositions of Image and Wavelet Models//IEEE Transactions on Acoustic, Speech and Signal Processing. 1989. V. 37, N 12. P. 2091.
Wigner E.P. On Quantum Correction for Thermodynamic Equilibrium//Physical Review. 1932. V. 40. P. 749-759.
Janssen A.J.E.M. On the Locus and Spread of Pseudo Density Functions in the Time-Frequency Plane//Phillips Journal of Researchs. 1982 V. 37, N 3. P. 79.
Bastiaans M.J. Decomposition of Signals in Gabor Series of Elementary Gaussian Signals//Proceedings of IEEE. 1980. V. 68, N 4. P. 123.
Gabor D. Theory of Communication//Journal of Institute for Electrical Engineering. 1946. V. 93, N 11. P. 429.
Qian S., Chen D. Discrete Gabor Transform//IEEE Transactions on Signal Processing. 1993. V. 41, N 7. P. 2429.
Qian S., Chen D. Signal Representation Using the Gaussian Functions//Signal Processing. 1994. V. 36. P. 1-11.
Allen J.B., Rabiner L.R. A Unified Approach to Short-Time Fourier Analyses and Synthesis//Proceedings of IEEE. 1977. V. 65, N 11. P. 1558.
Portnoff M.R. Time-Frequency Representation of Digital Signals and Systems Based on Short-Time Fourier Analyses//IEEE Transactions on Signal Processing. 1980. V. 28, N 2. P. 55.
Auslander I., Gertner I.C., Tolimieri R. The Discrete Zak Transform Application to Time-Frequensy Analysis and Synthesis of Nonstationary Signals//IEEE Transactions on Signal Processing. 1991. V. 39, N 4. P. 825.
Janssen A.J.E.M. The Zak Transformations. A Signal Transformations for Sampled Time-Continuous Systems//Phillips Journal of Research. 1988. V. 43. P. 23.
Daubechies I., Jaffard S., Journe J.L. A Simple Wilson Orthonormal Basis with Exponential Decay//SIAM Journal of Mathematical Analysis. 1991. V. 22, N 2. P. 554.
Loughlin P.J., Pitton J.W., Atlas L.E. Bilinear Time-Frequency Transformation. New Insight and Properties//IEEE Transactions on Signal Processing. 1993. V. 41, N 5. P. 750.
Gaunaurd G.C., Strifors H.C. Signal Analysis by Means of Time-Frequency Transformation оf Wigner Type//Proceedings of IEEE. 1996. V. 84, N 9. P. 1231-1247.
Hlawatsch F., Boudreaux-Bartels G.F. Linear and Quadratic Time-Frequency Signal Representations//IEEE Signal Processing Magazine. 1992. V. 9, N 4. P. 21-67.
Consalves P., Baraniuk R.G. Bertran's Bilinear Time-Frequency Transformation and its Modifications//Signal Processing Letters. 1996. V. 3, N 3. P. 82.
Auger F., Flandrin P. Improvement of Readability of Time-Frequency Representation by Reassignment Method//IEEE Transactions on Signal Processing. 1993. V. 43, N 5. P. 1068.
Loughlin P. Non Negative Time-Frequency Representation//IEEE Transactions on Signal Processing. 1994. V. 42, N 10. P. 2697.
Choi H.I., Williams W.J. Exponential Kernel with Reduced Interference on the Basis of Exponential Kernel//Proceedings of IEEE. 1996. V. 84, N 9. P. 1264.
Bertrand J., Bertrand P. A Class of Wigner Functions with Extended Covariance Properties//Journal of Mathematical Physics. 1992. V. 33, N 7. P. 2515.
Guo Z., Durand L. Time-Frequency Transformation with Bessel function as a Kernel//IEEE Transactions on Signal Processing. 1994. V. 42, N 7. P. 1700.
Choi H., Williams W.J. Improved Time-Frequency Representation with Exponential Kernels//IEEE Transactions on Signal Processing. 1989. V. 37, N 6. P. 862-871.
Choi H.I., Williams W.J., Zaveri H. Analysis of Event Related to Potentials: Time-Frequency Energy Distribution//Biomedical Science Instrument. 1987. V. 23. P. 251.
Stankovic L.J. Time-Frequency Distribution Concentrated Along the Instantaneous Frequency//IEEE Signal Processing Letters. 1996. V. 3, N 3. P. 89.
Stankovic L.J. Improved Concentration in Time-Frequency Transformation for Using L-Wigner-Distribution//IEEE Transactions on Signal Processing. 1995. V. 43, N 5. P. 1263.
Ville J. Theory et Applications de la Notion de Signal Analitique//Cables et Transmission. 1948. V. 24. P. 61-74.
Morris J.M., Lu Y. Discrete Gabor Expansion of Discrete-Time Signal via Frame Theory//Signal Processing. 1994. V. 40, N 2. P. 155.
Duffin R.J., Schaeffer A.C. A Class of Nonparametric Fourier Series//Transactions of American Mathematical Society. 1952. V. 72. P. 341.

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